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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 328560.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.a1 | 328560a1 | \([0, -1, 0, -168332696, 855160062096]\) | \(-100389630395083682/2018931072975\) | \(-10608690732815695250995200\) | \([]\) | \(102435840\) | \(3.5943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 328560.a do not have complex multiplication.Modular form 328560.2.a.a
sage: E.q_eigenform(10)